A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest whole number.
Accepted Solution
A:
area of a cylinder is the area of the top + the area of the bottom + the area of the wrap-around (lateral) top: pi*r*r=81pi bottom: 81pi lateral: 2pi*r*h=18pi*h, h is unknown, but you don't have to solve it.
add them up: 81pi +81pi + 18h*pi=1850 pi*h=(1850-162pi)/18, (plug this in the volume formula below.)
volume of a cylinder: the area of the base × the height =81pi*h volume=81[1850-162pi)/18] use your calculator: V=6036